Add 7/4 and 42/49
1st number: 1 3/4, 2nd number: 42/49
7/4 + 42/49 is 73/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 4 × 49 = 196,
7/4 = 7 × 49/4 × 49 = 343/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
42/49 = 42 × 4/49 × 4 = 168/196 - Add the two like fractions:
343/196 + 168/196 = 343 + 168/196 = 511/196 - 511/196 simplified gives 73/28
- So, 7/4 + 42/49 = 73/28
In mixed form: 217/28
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